Summary
It is shown that the Volterra integral Equation (2) can be explicitely solved for all complex number λ under the assumption that the parameter α is less than 1 and rational. The solution is given by Formulas (3), (4).
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Brakhage, H., Nickel, K. & Rieder, P. Auflösung der abelschen integralgleichung 2. Art. Journal of Applied Mathematics and Physics (ZAMP) 16, 295–298 (1965). https://doi.org/10.1007/BF01587653
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DOI: https://doi.org/10.1007/BF01587653